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Finding the Fourth Proportional to 65,699.60, 90,668.74 and 40,197.98

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Solution

The fourth proportional to 65,699.60, 90,668.74 and 40,197.98 is: 55,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,699.60 : 90,668.74 = 40,197.98 : x
  2. Step 2: Convert to fraction form
    65,699.60/90,668.74 = 40,197.98/x
  3. Step 3: Cross multiply
    65,699.60x = 90,668.74 × 40,197.98
  4. Step 4: Simplify right side
    65,699.60x = 3,644,700,197.15
  5. Step 5: Solve for x
    x = 3,644,700,197.15/65,699.60
  6. Step 6: Final answer
    x = 55,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.